(t) = A cos(wt) + B sin(wt)? b) An undamped oscillation under the influence of external force is given by UTM& UTM s U where r(t) is the displacement at time t. Suppose a spring has mass m m- + kr = , 6 UTM and spring constant k and let w UTOs UTM U UTM F(t) = Fo cos (wot), where wo # w. What type of value k and m UTM so that the corresponding homogeneous solution is with external force m 6UTM In(t) = A cos(wt) +B sin(wt)? Hence, by using the method of undetermined coefficients, show that 5 UTM UTM SUTM UTM UTM x(t) = A cos(wt) + B sin(wt) + Fo SUTM 5UTM m(w² – w3) cos (wit). -

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